Remove Boxes
Difficulty: Hard
Category: DSA
Topics: Array, Dynamic Programming, Memoization
Asked at: Apple, Amazon
You are given several `boxes` with different colors represented by different positive numbers.
You may experience several rounds to remove boxes until there is no box left. Each time you can choose some continuous boxes with the same color (i.e., composed of `k` boxes, `k >= 1`), remove them and get `k * k` points.
Return _the maximum points you can get_.
**Example 1:**
**Input:** boxes = [1,3,2,2,2,3,4,3,1]
**Output:** 23
**Explanation:**
[1, 3, 2, 2, 2, 3, 4, 3, 1]
----> [1, 3, 3, 4, 3, 1] (3*3=9 points)
----> [1, 3, 3, 3, 1] (1*1=1 points)
----> [1, 1] (3*3=9 points)
----> [] (2*2=4 points)
```
**Example 2:**
**Input:** boxes = [1,1,1]
**Output:** 9
```
**Example 3:**
**Input:** boxes = [1]
**Output:** 1
```
**Constraints:**
- `1 <= boxes.length <= 100`
- `1 <= boxes[i] <= 100`